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Finding the Fourth Proportional to 144,904.70, 217,097.85 and 89,435.90

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Solution

The fourth proportional to 144,904.70, 217,097.85 and 89,435.90 is: 133,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,904.70 : 217,097.85 = 89,435.90 : x
  2. Step 2: Convert to fraction form
    144,904.70/217,097.85 = 89,435.90/x
  3. Step 3: Cross multiply
    144,904.70x = 217,097.85 × 89,435.90
  4. Step 4: Simplify right side
    144,904.70x = 19,416,341,602.82
  5. Step 5: Solve for x
    x = 19,416,341,602.82/144,904.70
  6. Step 6: Final answer
    x = 133,993.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.